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Question

# Swati and Rajni enter into a partnership with their capitals in the ratio 5:6. At the end of 7 months, Swati withdraws her capital. If they receive the profit in the ratio of 5:9, then how long was Rajni's capital used?

A
12.5 months
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B
10 months
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C
10.5 months
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D
14 months
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Solution

## The correct option is C 10.5 monthsSuppose, Swati invested 5x rupees for 7 months and Rajni invested 6x rupees for y months. Then, 5x×76x×y=59 ⇒2y=21 ⇒y=10.5 Hence, Rajni's capital was used for 10.5 months.

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